Existence results for a class of (p,q) Laplacian systems

摘要

We establish the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems: 8> : ?? pu = a(x)ujuj ??2 + + b(x)ujuj ??2jvj + f in ; ?? qv = d(x)vjvj ??2 + + b(x)juj vjvj ??2 + g in ; (u; v) 2 W1;p 0 ( ) W1;q 0 ( ): Our result depending on the local minimization.